My uncle just got one of those. Neat little gun. He has a Galco holster that worked well when I tried it. The holster stayed in the pocket and the gun came out. Reholster with the holster out of your pocket! Here in CA the wallet holsters that the gun mounts in are illegal but look like a wallet in your pocket. Check local laws before mounting your LCP in one.
Ammo, there is a huge question. My father took my Sig P230 with him on his last trip and I sent a bunch of ammo later.
He asked why I had so many different types. My answer was for him to shoot some of all of it. I know what I liked and what I carried and what would work and feed when I shot it. He needed to shoot a mag of each and see what he wanted to keep in the gun.
I liked the Remington 102 Grain golden sabers. But try them as well as the Federal Hydroshocks, Win Silver tips and SXT, and any other rounds you come across you want to try.
Before I carried my 230 I put 500 rounds through it of FMJ and at least 100 of JHP loads before I considered it as a self protection gun.